Abstract

We report dynamic regimes supported by a sharp quasi-one-dimensional (1D) (“razor”), pyramid-shaped (“dagger”), and conical (“needle”) potentials in the 2D complex Ginzburg–Landau (CGL) equation with cubic-quintic non linearity. This is a model of an active optical medium with respective expanding antiwaveguiding structures. If the potentials are strong enough, they give rise to continuous generation of expanding soliton patterns by a 2D soliton initially placed at the center. In the case of the pyramidal potential with M edges, the generated patterns are sets of M jets for M5, or expanding polygonal chains of solitons for M6. In the conical geometry, these are concentric waves expanding in the radial direction.

© 2010 Optical Society of America

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